Details

Time bar (total: 8.3s)

sample14.0ms

Algorithm
intervals
Results
5.0ms248×body80valid
0.0ms3×body2560valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body640valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1108
2118
done118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
7.0ms
(+ x (/ (fabs (- y x)) 2.0))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify2.1s

Counts
20 → 20
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
033213
189204
2199185
3454185
41164185
53318185
done5001185

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (fabs (- y x)) 2.0))
0.0b
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
12.6b
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
28.6b
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
121×add-sqr-sqrt
97×times-frac
91×*-un-lft-identity
79×add-cube-cbrt
40×prod-diff
20×difference-of-squares
18×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×div-inv add-log-exp
6×associate-/r* distribute-lft-out--
5×cbrt-undiv div-exp
4×expm1-log1p-u flip3-- fma-neg prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l* unswap-sqr
2×sub-neg diff-log associate-/r/ associate-/l/
1×pow2 frac-times frac-2neg pow-plus div-sub associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
4 → 198
Calls
4 calls:
9.0ms
(- x (/ (fabs (- y x)) 2.0))
14.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
3.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
20.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- x (/ (fabs (- y x)) 2.0))
21.0ms
(* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))
37.0ms
(- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))
56.0ms
(/ (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)))

simplify1.3s

Counts
210 → 210
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03276590
18685577
229424198
done50014189

prune499.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0)))
0.5b
(pow (sqrt (/ (fabs (- y x)) 2.0)) 3)
12.6b
(- (* x x) (* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0))))
28.6b
(/ (- (* x x) (* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
136×add-sqr-sqrt
93×sqrt-prod
81×times-frac
65×*-un-lft-identity
57×add-cube-cbrt
41×unpow-prod-down cube-prod
38×associate-*l*
24×unswap-sqr
16×associate-*r*
12×add-exp-log
9×add-cbrt-cube
8×difference-of-squares
7×pow1
6×associate-/r* div-inv add-log-exp
5×sqrt-div sqr-pow
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×cube-div pow-unpow flip3-- pow-pow prod-exp flip-- associate-/l*
2×cube-mult pow-to-exp unpow3 pow-exp associate-/r/ associate-/l/
1×cbrt-undiv frac-times sub-neg frac-2neg sqrt-pow1 pow-plus pow1/2 fma-neg diff-log div-sub associate-*r/ div-exp prod-diff associate-*l/ clear-num *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 214
Calls
4 calls:
39.0ms
(* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0)))
5.0ms
(pow (sqrt (/ (fabs (- y x)) 2.0)) 3)
3.0ms
(- (* x x) (* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0))))
21.0ms
(/ (- (* x x) (* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0)))
90.0ms
(pow (sqrt (/ (fabs (- y x)) 2.0)) 3)
86.0ms
(- (* x x) (* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0))))
128.0ms
(/ (- (* x x) (* (pow (sqrt (/ (fabs (- y x)) 2.0)) 3) (sqrt (/ (fabs (- y x)) 2.0)))) (- x (/ (fabs (- y x)) 2.0)))

simplify1.1s

Counts
226 → 226
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03006232
17614797
228454454
done50014453

prune572.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 4 (413.0ms)

IterNodesCost
040216
189171
2225145
3607143
41669142
done5000142

prune31.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample294.0ms

Algorithm
intervals
Results
147.0ms7687×body80valid
11.0ms124×body1280valid
6.0ms92×body640valid
4.0ms40×body2560valid
2.0ms41×body320valid
1.0ms18×body160valid